Finite Group Databasebeta

← #33971809

Subgroups — #33971809

Order 18688.

2088 conjugacy classes of subgroups.

The subgroup lattice has 1882 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624149C211yesmaximal, characteristic, complemented
2#22623606C211yesmaximal, characteristic, complemented
3#22622234C211yesmaximal, characteristic, complemented
4#22622231C211yesmaximal, characteristic, complemented
5#22622015C211yesmaximal, characteristic, complemented
6#22622007C211yesmaximal, characteristic, complemented
7#22621928C211yesmaximal, characteristic, complemented
8#22621920C211yesmaximal, characteristic, complemented
9#22621805C211yesmaximal, characteristic, complemented
10#22621802C211yesmaximal, characteristic, complemented
11#22621619C211yesmaximal, characteristic, complemented
12#22621614C211yesmaximal, characteristic, complemented
13#22621585C211yesmaximal, characteristic, complemented
14#22621581C211yesmaximal, characteristic, complemented
15#22621483C211yesmaximal, characteristic, complemented
16#22621479C211yesmaximal, characteristic, complemented
17#22621448C211yesmaximal, characteristic, complemented
18#22621439C211yesmaximal, characteristic, complemented
19#22621044C211yesmaximal, characteristic, complemented
20#22621036C211yesmaximal, characteristic, complemented
21#22620828C211yesmaximal, characteristic, complemented
22#22620739C211yesmaximal, characteristic, complemented
23#22620705C211yesmaximal, characteristic, complemented
24#22620196C211yesmaximal, characteristic, complemented
25#22620188C211yesmaximal, characteristic, complemented
26#22619249C211yesmaximal, characteristic, complemented
27#22619243C211yesmaximal, characteristic, complemented
28#22619188C211yesmaximal, characteristic, complemented
29#449×D73C211yesmaximal, characteristic, complemented
30#22618974C211yesmaximal, characteristic, complemented
31C73×#3203C211yesmaximal, characteristic, complemented
32C2×#14556638C2211yescharacteristic, complemented
33C2×#41×D73C2211yescharacteristic
34C2×#14556624C2211yescharacteristic, complemented
35C2×#14556623C2211yescharacteristic, complemented
36C2×#14556621C2211yescharacteristic, complemented
37C2×#14556620C2211yescharacteristic, complemented
38C2×#14556613C2211yescharacteristic, complemented
39C2×#14556611C2211yescharacteristic, complemented
40C2×SD16×D73C2211yescharacteristic
41C2×D8×D73C2211yescharacteristic
42#17989332—21no—
43#17989332—21no—
44#17989295C2211yescharacteristic
45#17989292C2211yescharacteristic
46#17989250C2211yescharacteristic
47#17989250C2211yescharacteristic
48#17989247C2211yescharacteristic, complemented
49#17989244C2211yescharacteristic, complemented
50#17989243C2211yescharacteristic, complemented
51#17989243C2211yescharacteristic, complemented
52#17989239C2211yescharacteristic, complemented
53#17989239C2211yescharacteristic, complemented
54#17989238C2211yescharacteristic, complemented
55#17989237—21no—
56#17989237—21no—
57#17989237C2211yescharacteristic, complemented
58#17989234—21no—
59#17989234C2211yescharacteristic
60#17989234C2211yescharacteristic
61#17989234C2211yescharacteristic
62#17989226—21no—
63#17989226—21no—
64#17989226—21no—
65#17989225C2211yescharacteristic
66#17989212—21no—
67#17989210C2211yescharacteristic, complemented
68#17989204C2211yescharacteristic, complemented
69#17989183—21no—
70#17989169—21no—
71#17989166—21no—
72#17989166—21no—
73#17989165C2211yescharacteristic, complemented
74#17989160—21no—
75#17989158C2211yescharacteristic, complemented
76#17989097—21no—
77#17989094C2211yescharacteristic
78C2×#14556571C2211yescharacteristic
79C22⋊Q8×D73—21no—
80C22⋊Q8×D73C2211yescharacteristic
81#121×D73C2211yescharacteristic
82#17989068C2211yescharacteristic, complemented
83#17988980C2211yescharacteristic, complemented
84#17988978C2211yescharacteristic, complemented
85#17988970C2211yescharacteristic, complemented
86#17988968C2211yescharacteristic, complemented
87#17988945C2211yescharacteristic, complemented
88#17988945C2211yescharacteristic, complemented
89#17988936C2211yescharacteristic, complemented
90#17988936C2211yescharacteristic, complemented
91#17988924C2211yescharacteristic
92#17988924C2211yescharacteristic
93#17988924C2211yescharacteristic, complemented
94#17988924C2211yescharacteristic, complemented
95#17988922C2211yescharacteristic, complemented
96#17988920C2211yescharacteristic, complemented
97#17988900C2211yescharacteristic, complemented
98#17988898C2211yescharacteristic, complemented
99#17988881C2211yescharacteristic, complemented
100#17988881C2211yescharacteristic, complemented
101#17988866C2211yescharacteristic, complemented
102#17988866C2211yescharacteristic, complemented
103#17988835C2211yescharacteristic, complemented
104#17988834C2211yescharacteristic, complemented
105#17988834C2211yescharacteristic, complemented
106#17988832C2211yescharacteristic, complemented
107#17988832C2211yescharacteristic, complemented
108#17988831C2211yescharacteristic, complemented
109#17988829C2211yescharacteristic
110#17988829C2211yescharacteristic
111#17988827C2211yescharacteristic
112#17988827C2211yescharacteristic
113#17988826C2211yescharacteristic, complemented
114#17988821C2211yescharacteristic, complemented
115#17988812C2211yescharacteristic, complemented
116#17988808C2211yescharacteristic, complemented
117#17988808C2211yescharacteristic, complemented
118#17988807C2211yescharacteristic, complemented
119#17988805C2211yescharacteristic, complemented
120#17988801C2211yescharacteristic, complemented
121#17988801C2211yescharacteristic, complemented
122#17988800C2211yescharacteristic, complemented
123#17988796C2211yescharacteristic, complemented
124#17988795C2211yescharacteristic, complemented
125#17988791C2211yescharacteristic, complemented
126#17988790C2211yescharacteristic, complemented
127#17988751C2211yescharacteristic, complemented
128#17988751C2211yescharacteristic, complemented
129#17988749C2211yescharacteristic, complemented
130#17988747C2211yescharacteristic, complemented
131#17988747C2211yescharacteristic, complemented
132#17988747C2211yescharacteristic, complemented
133#17988745C2211yescharacteristic, complemented
134#17988745C2211yescharacteristic, complemented
135#17988744C2211yescharacteristic
136#17988744C2211yescharacteristic, complemented
137#17988744C2211yescharacteristic, complemented
138#17988742C2211yescharacteristic, complemented
139#17988742C2211yescharacteristic, complemented
140#17988741C2211yescharacteristic
141#17988739C2211yescharacteristic
142#17988739C2211yescharacteristic
143#17988739C2211yescharacteristic
144#17988736C2211yescharacteristic
145#17988735C2211yescharacteristic
146#17988734C2211yescharacteristic
147#17988734C2211yescharacteristic, complemented
148#17988733C2211yescharacteristic
149#17988732C2211yescharacteristic
150#17988731C2211yescharacteristic
151#17988730C2211yescharacteristic
152#17988730C2211yescharacteristic, complemented
153#17988730C2211yescharacteristic, complemented
154#17988729C2211yescharacteristic
155#17988728C2211yescharacteristic, complemented
156#17988728C2211yescharacteristic, complemented
157#17988725C2211yescharacteristic, complemented
158#17988725C2211yescharacteristic, complemented
159#17988690C2211yescharacteristic, complemented
160#17988686C2211yescharacteristic, complemented
161#17988686C2211yescharacteristic, complemented
162#17988684C2211yescharacteristic, complemented
163#17988681C2211yescharacteristic, complemented
164#17988679C2211yescharacteristic, complemented
165#17988669C2211yescharacteristic, complemented
166#17988667C2211yescharacteristic, complemented
167#17988663C2211yescharacteristic, complemented
168#17988662C2211yescharacteristic, complemented
169#17988661C2211yescharacteristic
170#17988658C2211yescharacteristic, complemented
171#17988656C2211yescharacteristic
172#17988655C2211yescharacteristic, complemented
173C8×C22⋊D73C2211yescharacteristic
174#17988650C2211yescharacteristic
175#17988645C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988589C2211yescharacteristic, complemented
178#17988587C2211yescharacteristic, complemented
179#17988586C2211yescharacteristic, complemented
180#17988585C2211yescharacteristic, complemented
181C2×#14556516C2211yescharacteristic, complemented
182C2×#14556514C2211yescharacteristic, complemented
183#103×D73C2211yescharacteristic
184#102×D73C2211yescharacteristic
185#17988554C2211yescharacteristic, complemented
186#17988549C2211yescharacteristic
187C22⋊C8×D73C2211yescharacteristic
188#537×C73C2211yescharacteristic, complemented
189#537×C73C2211yescharacteristic, complemented
190#484×C73C2211yescharacteristic, complemented
191#484×C73C2211yescharacteristic, complemented
192#480×C73C2211yescharacteristic, complemented
193#480×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic, complemented
195#468×C73C2211yescharacteristic, complemented
196#467×C73C2211yescharacteristic, complemented
197#466×C73C2211yescharacteristic, complemented
198#452×C73C2211yescharacteristic, complemented
199#452×C73C2211yescharacteristic, complemented
200#449×C73C2211yescharacteristic
201#449×C73C2211yescharacteristic, complemented
202#408×C73C2211yescharacteristic, complemented
203#14556638—42no—
204#14556638—42no—
205C2×#11924029C2311yescharacteristic
206C2×#11924028—21no—
207C2×#11924028—21no—
208C2×#11924028C2311yescharacteristic
209C2×#11924028C2311yescharacteristic
210C2×#11924028C2311yescharacteristic
211C2×#11924028C2311yescharacteristic
212C2×#11924027—21no—
213C2×#11924027—21no—
214C2×#11924027—21no—
215C2×#11924027—21no—
216C2×#11924027—21no—
217C2×#11924027C2311yescharacteristic
218#41×D73—42no—
219#41×D73—42no—
220C22×Dic146C2311yescharacteristic
221C22×Dic146C2311yescharacteristic
222C22×Dic146C2311yescharacteristic
223C2×Q8×D73—21no—
224C2×Q8×D73C2311yescharacteristic
225C2×Q8×D73C2311yescharacteristic
226C2×D4×D73—21no—
227C2×D4×D73—21no—
228C2×D4×D73C2311yescharacteristic
229C2×D4×D73C2311yescharacteristic
230C22×C4×D73—21no—
231C22×C4×D73C2311yescharacteristic
232#14556624—42no—
233#14556623—42no—
234#14556621—42no—
235#14556620—42no—
236#14556613—42no—
237#14556611—42no—
238C2×Dic292C2311yescharacteristic
239C2×Dic292C2311yescharacteristic
240C2×Dic292C2311yescharacteristic
241C2×#11924018C2311yescharacteristic
242C2×#11924018C2311yescharacteristic
243C2×#11924018C2311yescharacteristic
244C2×#11924018C2311yescharacteristic
245C2×#11924017C2311yescharacteristic
246C2×#11924017C2311yescharacteristic
247C2×#11924017C2311yescharacteristic
248C2×#11924017C2311yescharacteristic
249C2×#11924016C2311yescharacteristic
250C2×#11924016C2311yescharacteristic
251C2×#11924016C2311yescharacteristic
252C2×#11924016C2311yescharacteristic
253C2×#11924015C2311yescharacteristic
254C2×#11924015C2311yescharacteristic
255SD16×D73—42no—
256C2×D584C2311yescharacteristic
257C2×#11924013C2311yescharacteristic
258C2×#11924013C2311yescharacteristic
259D8×D73—42no—
260C2×#11924012C2311yescharacteristic
261C2×#11924011C2311yescharacteristic
262C2×#11924011C2311yescharacteristic
263C22×#10596831C2311yescharacteristic
264C2×C8×D73C2311yescharacteristic
265C2×C8×D73C2311yescharacteristic
266#14556590—21no—
267#14556590—21no—
268#14556590C2311yescharacteristic
269#14556590C2311yescharacteristic
270#14556589C2311yescharacteristic
271#14556589C2311yescharacteristic
272#14556586—21no—
273#14556584—21no—
274#14556581—21no—
275#14556581—21no—
276#14556580C2311yescharacteristic
277#14556578—21no—
278#14556578—21no—
279#14556578C2311yescharacteristic
280#14556578C2311yescharacteristic
281#14556578C2311yescharacteristic
282#14556577—21no—
283#14556577—21no—
284#14556577—21no—
285#14556577—21no—
286#14556576—21no—
287#14556576—21no—
288#14556576—21no—
289#14556574—21no—
290#14556574—21no—
291#14556573—21no—
292#14556573—21no—
293#14556573—21no—
294#14556573—21no—
295#14556573—21no—
296#14556573—21no—
297#14556573—21no—
298#14556572—21no—
299#14556572—21no—
300#14556572—21no—
301#14556572—21no—
302#14556572D411yescharacteristic
303#14556572D411yescharacteristic
304#14556571—21no—
305#14556571—21no—
306#14556571—21no—
307#14556571—21no—
308#14556571C2311yescharacteristic
309#14556571C2311yescharacteristic
310#14556571C2311yescharacteristic
311#14556571C2311yescharacteristic
312#14556571C2311yescharacteristic
313#14556570—21no—
314#14556570—21no—
315#14556570—21no—
316#14556570—21no—
317#14556570C2311yescharacteristic
318#14556570C2311yescharacteristic
319#14556569—21no—
320#14556569—21no—
321#14556569—21no—
322#14556569—21no—
323#14556569—21no—
324#14556569—21no—
325#14556568—21no—
326#14556568—21no—
327#14556568—21no—
328#14556568—21no—
329#14556568—21no—
330#14556568—21no—
331#14556568—21no—
332#14556568—21no—
333#14556567—21no—
334#14556567D411yescharacteristic
335#14556567D411yescharacteristic
336#14556567C2311yescharacteristic
337#14556566C2311yescharacteristic
338#14556565C2311yescharacteristic
339#14556565C2311yescharacteristic
340#14556564—21no—
341#14556564—21no—
342#14556564—21no—
343#14556564—21no—
344#14556563—21no—
345#14556563—21no—
346#14556563—21no—
347#14556563—21no—
348#14556563—21no—
349#14556563—21no—
350#14556562—21no—
351#14556562—21no—
352#14556562—21no—
353#14556562—21no—
354#14556562—21no—
355#14556562D411yescharacteristic
356#14556562D411yescharacteristic
357#14556562C2311yescharacteristic
358#14556559—21no—
359#14556559—21no—
360#14556559—21no—
361#14556559—21no—
362#14556559D411yescharacteristic
363#14556559D411yescharacteristic
364Q8×Dic73C2311yescharacteristic
365#14556556C2311yescharacteristic
366#14556556C2311yescharacteristic
367#14556556C2311yescharacteristic
368D4×Dic73—21no—
369D4×Dic73—21no—
370D4×Dic73C2311yescharacteristic
371#14556553—21no—
372#14556553C2311yescharacteristic
373#14556553C2311yescharacteristic
374#14556553C2311yescharacteristic
375C4×C22⋊D73—21no—
376C4×C22⋊D73—21no—
377C4×C22⋊D73—21no—
378C4×C22⋊D73—21no—
379C4×C22⋊D73C2311yescharacteristic
380C4×C22⋊D73C2311yescharacteristic
381C4×C22⋊D73C2311yescharacteristic
382C4×C22⋊D73C2311yescharacteristic
383#14556551—21no—
384#14556551—21no—
385#14556551—21no—
386#14556550C2311yescharacteristic
387#14556549—21no—
388C2×C4⋊Dic73—21no—
389C2×C4⋊Dic73C2311yescharacteristic
390C4⋊C4×D73—21no—
391C4⋊C4×D73—21no—
392C4⋊C4×D73—21no—
393C4⋊C4×D73—21no—
394C4⋊C4×D73C2311yescharacteristic
395C4⋊C4×D73C2311yescharacteristic
396C2×#11924005—21no—
397C2×#11924005—21no—
398C22⋊C4×D73—21no—
399C22⋊C4×D73—21no—
400C22⋊C4×D73—21no—
401C22⋊C4×D73—21no—
402C22⋊C4×D73—21no—
403#14556524C2311yescharacteristic
404#14556524C2311yescharacteristic
405#14556524C2311yescharacteristic
406#14556524C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556516C2311yescharacteristic
416#14556516C2311yescharacteristic
417#14556515C2311yescharacteristic
418#14556515C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556514C2311yescharacteristic
424#14556514C2311yescharacteristic
425#14556514C2311yescharacteristic
426#14556514C2311yescharacteristic
427#14556513C2311yescharacteristic
428#14556513C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556512C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437C22⋊#10596831C2311yescharacteristic
438C22⋊#10596831C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443#14556501C2311yescharacteristic
444#14556501C2311yescharacteristic
445C8×Dic73C2311yescharacteristic
446C8×Dic73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C2×#41×C73C2311yescharacteristic
449C2×#41×C73C2311yescharacteristic
450C2×Q16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C2×M16×C73C2311yescharacteristic
455C22×C8×C73C2311yescharacteristic
456C22⋊Q8×C73—21no—
457C22⋊Q8×C73—21no—
458C22⋊Q8×C73C2311yescharacteristic
459C22⋊Q8×C73C2311yescharacteristic
460C22⋊Q8×C73C2311yescharacteristic
461C22⋊Q8×C73C2311yescharacteristic
462#121×C73—21no—
463#121×C73—21no—
464#121×C73—21no—
465#121×C73—21no—
466#121×C73—21no—
467#121×C73—21no—
468#121×C73C2311yescharacteristic
469#121×C73C2311yescharacteristic
470#121×C73C2311yescharacteristic
471#121×C73C2311yescharacteristic
472C2×C4⋊C4×C73C2311yescharacteristic
473C2×C4⋊C4×C73C2311yescharacteristic
474#107×C73C2311yescharacteristic
475#107×C73C2311yescharacteristic
476#107×C73C2311yescharacteristic
477#107×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489C22⋊C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73C2×D411yescharacteristic
493#11924029—22no—
494#11924029—41no—
495#11924028—22no—
496#11924028—22no—
497#11924028—22no—
498#11924028—22no—
499#11924028—41no—
500#11924028—41no—
501#11924028—41no—
502#11924028—41no—
503#11924028—44no—
504#11924028—82no—
505#11924027—22no—
506#11924027—41no—
507#11924027—44no—
508#11924027—44no—
509#11924027—44no—
510#11924027—44no—
511#11924027—82no—
512C2×Dic146—22no—
513C2×Dic146—22no—
514C2×Dic146—21no—
515C2×Dic146—21no—
516C2×Dic146—21no—
517C2×Dic146—21no—
518C2×Dic146—21no—
519C2×Dic146—21no—
520C2×Dic146—21no—
521C2×Dic146—41no—
522C2×Dic146—41no—
523C2×Dic146—41no—
524C2×Dic146—41no—
525C2×Dic146C2411yescharacteristic
526C2×Dic146C2411yescharacteristic
527C2×Dic146C2411yescharacteristic
528C2×Dic146C2411yescharacteristic
529Q8×D73—22no—
530Q8×D73—41no—
531Q8×D73—41no—
532Q8×D73—41no—
533Q8×D73—44no—
534C2×D292—21no—
535C2×D292—21no—
536C2×D292C2411yescharacteristic
537C2×D292C2411yescharacteristic
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—21no—
547C2×C22⋊D73—21no—
548C2×C22⋊D73C2×D411yescharacteristic
549C2×C22⋊D73C2×D411yescharacteristic
550C2×C22⋊D73C2×D411yescharacteristic
551C2×C22⋊D73C2×D411yescharacteristic
552D4×D73—22no—
553D4×D73—41no—
554D4×D73—41no—
555D4×D73—41no—
556D4×D73—44no—
557D4×D73—82no—
558C22×Dic73—21no—
559C22×Dic73—21no—
560C22×Dic73—21no—
561C22×Dic73—21no—
562C22×Dic73—21no—
563C22×Dic73—21no—
564C22×Dic73C2×D411yescharacteristic
565C2×C4×D73—21no—
566C2×C4×D73—21no—
567C2×C4×D73—21no—
568C2×C4×D73—21no—
569C2×C4×D73—21no—
570C2×C4×D73—21no—
571C2×C4×D73—21no—
572C2×C4×D73—21no—
573C2×C4×D73—21no—
574C2×C4×D73—21no—
575C2×C4×D73—21no—
576C2×C4×D73—21no—
577C2×C4×D73—41no—
578C2×C4×D73—41no—
579C2×C4×D73—44no—
580C2×C4×D73C2×D411yescharacteristic
581C2×C4×D73C2×D411yescharacteristic
582C2×C4×D73C2411yescharacteristic
583C2×C4×D73C2411yescharacteristic
584Dic292—22no—
585Dic292—41no—
586Dic292—41no—
587#11924018—22no—
588#11924018—41no—
589#11924018—41no—
590#11924018—41no—
591#11924017—22no—
592#11924017—22no—
593#11924017—41no—
594#11924017—41no—
595#11924016—22no—
596#11924016—41no—
597#11924016—41no—
598#11924016—41no—
599#11924015—22no—
600#11924015—41no—
601D584—22no—
602#11924013—22no—
603#11924013—41no—
604#11924012—41no—
605#11924011—41no—
606#11924011—41no—
607C2×#10596831—41no—
608C2×#10596831C2411yescharacteristic
609C2×#10596831C2411yescharacteristic
610C2×#10596831C2411yescharacteristic
611C2×#10596831C2411yescharacteristic
612C8×D73—41no—
613C8×D73—41no—
614C4⋊Dic73—21no—
615C4⋊Dic73—21no—
616C4⋊Dic73—21no—
617C4⋊Dic73—21no—
618C4⋊Dic73—21no—
619C4⋊Dic73—21no—
620C4⋊Dic73—21no—
621C4⋊Dic73C2×D411yescharacteristic
622C4⋊Dic73C2×D411yescharacteristic
623C4⋊Dic73C2411yescharacteristic
624C4⋊Dic73C2411yescharacteristic
625#11924007—21no—
626#11924007—21no—
627#11924007—21no—
628#11924007—21no—
629#11924007—21no—
630#11924007—21no—
631#11924007—21no—
632#11924007—21no—
633#11924007—21no—
634#11924007—21no—
635#11924007—21no—
636#11924007—21no—
637#11924007—21no—
638#11924007—21no—
639#11924007C2×D411yescharacteristic
640#11924007C2×D411yescharacteristic
641#11924007C2×D411yescharacteristic
642#11924007C2×D411yescharacteristic
643C22⋊Dic73—21no—
644C22⋊Dic73—21no—
645C22⋊Dic73—21no—
646C22⋊Dic73—21no—
647C22⋊Dic73—21no—
648C22⋊Dic73—21no—
649C22⋊Dic73—21no—
650C22⋊Dic73—21no—
651C22⋊Dic73—21no—
652C22⋊Dic73—21no—
653C22⋊Dic73C2×D411yescharacteristic
654C22⋊Dic73C2×D411yescharacteristic
655C22⋊Dic73C2×D411yescharacteristic
656C22⋊Dic73C2×D411yescharacteristic
657C22⋊Dic73C2×D411yescharacteristic
658C22⋊Dic73C2×D411yescharacteristic
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005—21no—
664#11924005—21no—
665#11924005—21no—
666#11924005—21no—
667#11924005—21no—
668#11924005—21no—
669#11924005—21no—
670#11924005—21no—
671#11924005—21no—
672#11924005—21no—
673#11924005C2×D411yescharacteristic
674#11924005C2×D411yescharacteristic
675#11924005C2×D411yescharacteristic
676#11924005C2×D411yescharacteristic
677C4×Dic73—21no—
678C4×Dic73—21no—
679C4×Dic73—21no—
680C4×Dic73—21no—
681C4×Dic73C2411yescharacteristic
682C4×Dic73C2411yescharacteristic
683#41×C73—41no—
684#41×C73—41no—
685#41×C73—41no—
686#41×C73—41no—
687#41×C73—41no—
688#41×C73—41no—
689C2×Q8×C73C2×D411yescharacteristic
690C2×Q8×C73C2411yescharacteristic
691C2×Q8×C73C2411yescharacteristic
692C2×D4×C73—21no—
693C2×D4×C73—21no—
694C2×D4×C73—21no—
695C2×D4×C73—21no—
696C2×D4×C73—21no—
697C2×D4×C73—21no—
698C2×D4×C73C2×D411yescharacteristic
699C2×D4×C73C2×D411yescharacteristic
700C2×D4×C73C2×D411yescharacteristic
701C2×D4×C73C2411yescharacteristic
702C2×D4×C73C2411yescharacteristic
703C22×C4×C73—21no—
704C22×C4×C73—21no—
705C22×C4×C73—21no—
706C22×C4×C73—21no—
707C22×C4×C73C2411yescharacteristic
708C22×C4×C73C2411yescharacteristic
709C22×C4×C73C2411yescharacteristic
710Q16×C73—41no—
711SD16×C73—41no—
712SD16×C73—41no—
713D8×C73—41no—
714M16×C73—41no—
715C2×C8×C73—41no—
716C2×C8×C73C2411yescharacteristic
717C2×C8×C73C2411yescharacteristic
718C2×C8×C73C2411yescharacteristic
719C2×C8×C73C2411yescharacteristic
720C4⋊C4×C73—21no—
721C4⋊C4×C73—21no—
722C4⋊C4×C73—21no—
723C4⋊C4×C73—21no—
724C4⋊C4×C73—21no—
725C4⋊C4×C73—21no—
726C4⋊C4×C73C2411yescharacteristic
727C4⋊C4×C73C2411yescharacteristic
728C4⋊C4×C73C2411yescharacteristic
729C4⋊C4×C73C2411yescharacteristic
730C22⋊C4×C73—21no—
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73—21no—
734C22⋊C4×C73—21no—
735C22⋊C4×C73—21no—
736C22⋊C4×C73—21no—
737C22⋊C4×C73—21no—
738C23×C73—21no—
739C23×C73—21no—
740C23×C73C22×D411yescharacteristic
741C23×C73C22×D411yescharacteristic
742C23×C73C22×D411yescharacteristic
743C22×D73—21no—
744C22×D73—22no—
745C22×D73—21no—
746C22×D73—41no—
747C22×D73—41no—
748C22×D73—42no—
749C22×D73—42no—
750C22×D73—42no—
751C22×D73—81no—
752C22×D73—81no—
753C22×D73—81no—
754C22×D73C22×D411yescharacteristic
755C22×D73C22×D411yescharacteristic
756Q8×C73—21no—
757Q8×C73—21no—
758Q8×C73—21no—
759Q8×C73—21no—
760Q8×C73—41no—
761D4×C73—21no—
762D4×C73—21no—
763D4×C73—21no—
764D4×C73—21no—
765D4×C73—41no—
766D4×C73—41no—
767D4×C73—41no—
768D4×C73—42no—
769D4×C73—81no—
770D4×C73—81no—
771D4×C73—81no—
772D4×C73—81no—
773D4×C73—81no—
774C2×C4×C73—21no—
775C2×C4×C73—21no—
776C2×C4×C73—21no—
777C2×C4×C73—21no—
778C2×C4×C73—21no—
779C2×C4×C73—21no—
780C2×C4×C73—21no—
781C2×C4×C73—21no—
782C2×C4×C73—21no—
783C2×C4×C73—21no—
784C2×C4×C73—21no—
785C2×C4×C73—21no—
786C2×C4×C73—42no—
787C2×C4×C73—81no—
788C2×C4×C73—81no—
789C2×C4×C73—81no—
790C2×C4×C73C22×D411yescharacteristic
791C2×C4×C73C22×D411yescharacteristic
792C2×C4×C73C22×D411yescharacteristic
793C2×C4×C73C2511yescharacteristic
794C22⋊D73—24no—
795C22⋊D73—22no—
796C22⋊D73—22no—
797C22⋊D73—41no—
798C22⋊D73—41no—
799C22⋊D73—42no—
800C22⋊D73—42no—
801C22⋊D73—42no—
802C22⋊D73—42no—
803C22⋊D73—42no—
804C22⋊D73—81no—
805C22⋊D73—81no—
806C22⋊D73—81no—
807C22⋊D73—81no—
808C2×Dic73—21no—
809C2×Dic73—21no—
810C2×Dic73—21no—
811C2×Dic73—21no—
812C2×Dic73—21no—
813C2×Dic73—21no—
814C2×Dic73—41no—
815C2×Dic73—42no—
816C2×Dic73—42no—
817C2×Dic73—42no—
818C2×Dic73—42no—
819C2×Dic73—81no—
820C2×Dic73—81no—
821C2×Dic73C22×D411yescharacteristic
822C2×Dic73C22×D411yescharacteristic
823C2×Dic73C22×D411yescharacteristic
824C2×Dic73C22×D411yescharacteristic
825C2×Dic73C22×D411yescharacteristic
826C2×Dic73C22×D411yescharacteristic
827D292—21no—
828D292—21no—
829D292—21no—
830D292—42no—
831D292—42no—
832D292H(5,𝔽2)12yes—
833C4×D73—24no—
834C4×D73—21no—
835C4×D73—21no—
836C4×D73—21no—
837C4×D73—21no—
838C4×D73—41no—
839C4×D73—41no—
840C4×D73—42no—
841C4×D73—42no—
842C4×D73—42no—
843C4×D73—42no—
844C4×D73—42no—
845C4×D73—81no—
846C4×D73—81no—
847C4×D73—81no—
848C4×D73—81no—
849C4×D73—81no—
850C4×D73—81no—
851Dic146—21no—
852Dic146—21no—
853Dic146—21no—
854Dic146—21no—
855Dic146—21no—
856Dic146—21no—
857Dic146—21no—
858Dic146—42no—
859Dic146—42no—
860Dic146—42no—
861Dic146—42no—
862Dic146—81no—
863Dic146—81no—
864Dic146—81no—
865Dic146H(5,𝔽2)12yes—
866C8×C73—21no—
867C8×C73—21no—
868C8×C73—21no—
869C8×C73—21no—
870#10596831—21no—
871#10596831—21no—
872#10596831—21no—
873#10596831—21no—
874C22×C73—21no—
875C22×C73—21no—
876C22×C73—21no—
877C22×C73—21no—
878C22×C73—21no—
879C22×C73—21no—
880C22×C73—21no—
881C22×C73—21no—
882C22×C73—21no—
883C22×C73—41no—
884C22×C73—41no—
885C22×C73—41no—
886C22×C73—41no—
887C22×C73—41no—
888C22×C73—41no—
889C22×C73C23×D411yescharacteristic
890C2×D73—21no—
891C2×D73—21no—
892C2×D73—21no—
893C2×D73—22no—
894C2×D73—21no—
895C2×D73—21no—
896C2×D73—41no—
897C2×D73—41no—
898C2×D73—41no—
899C2×D73—41no—
900C2×D73—41no—
901C2×D73—82no—
902C2×D73—84no—
903C2×D73—162no—
904C2×D73#57812yes—
905C4×C73—21no—
906C4×C73—21no—
907C4×C73—21no—
908C4×C73—41no—
909C4×C73—41no—
910C4×C73—41no—
911C4×C73—41no—
912C4×C73—41no—
913C4×C73—41no—
914C4×C73C2×H(5,𝔽2)11yescharacteristic
915C4×C73C2×H(5,𝔽2)11yescharacteristic
916Dic73—21no—
917Dic73—21no—
918Dic73—22no—
919Dic73—21no—
920Dic73—21no—
921Dic73—21no—
922Dic73—21no—
923Dic73—41no—
924Dic73—41no—
925Dic73—41no—
926Dic73—41no—
927Dic73—41no—
928#61619—731nomaximal, Sylow
929C2×C73—41no—
930C2×C73—41no—
931C2×C73—41no—
932C2×C73—81no—
933C2×C73—81no—
934C2×C73#348411yescharacteristic
935C2×C73C2×#57811yescharacteristic
936C2×C73#358511yescharacteristic
937D73—22no—
938D73—41no—
939D73—42no—
940D73—81no—
941#3536—731no—
942#3489—731no—
943#3330—731no—
944#3330—731no—
945#3314—731no—
946#3314—731no—
947#3308—731no—
948#3308—731no—
949#3299—731no—
950#3299—731no—
951#3280—731no—
952#3280—731no—
953#3277—731no—
954#3277—731no—
955#3269—731no—
956#3269—731no—
957#3266—731no—
958#3266—731no—
959#3225—731no—
960#3225—731no—
961#3203—731no—
962#3203D7311yescharacteristic, complemented
963#3193—731no—
964#3189—731no—
965#3124—731no—
966#3124—731no—
967#3013—731no—
968#3013—731no—
969#3007—731no—
970C2×#449—731no—
971#2976—731no—
972C73#6161911yescharacteristic, complemented, Sylow
973C2×2−1+4—731no—
974C22×#41—731no—
975C2×#137—731no—
976C2×#137—731no—
977C2×#137—731no—
978C2×#137—731no—
979C2×#135—731no—
980C2×#135—731no—
981C22×SD16—731no—
982C22×D8—731no—
983#562—1461no—
984#562—1461no—
985#554—731no—
986#554—731no—
987D4×Q8—731no—
988D4×Q8—731no—
989#548—731no—
990#548—731no—
991#548—731no—
992#548—731no—
993#547—731no—
994#547—731no—
995#547—731no—
996#547—731no—
997#547—1461no—
998#547—1461no—
999#546—731no—
1000#546—731no—
1001#546—731no—
1002#546—731no—
1003#546—1461no—
1004#546—1461no—
1005#546—1461no—
1006#546—1461no—
1007#543—1461no—
1008#542—731no—
1009#542—731no—
1010#539—1461no—
1011#538—1461no—
1012#537—731no—
1013#537—1461no—
1014#537—1461no—
1015#537C2×D7311yescharacteristic, complemented
1016#537C2×D7311yescharacteristic, complemented
1017#536—731no—
1018#536—1461no—
1019#525—731no—
1020#525—1461no—
1021C2×C22⋊Q8—731no—
1022C2×C22⋊Q8—731no—
1023C2×C22⋊Q8—1461no—
1024C2×#121—731no—
1025#520—731no—
1026#497—731no—
1027#497—731no—
1028#495—731no—
1029#495—731no—
1030#489—731no—
1031#489—731no—
1032#487—731no—
1033#487—731no—
1034#484—731no—
1035#484—731no—
1036#484—731no—
1037#484—731no—
1038#484—731no—
1039#484—731no—
1040#484C2×D7311yescharacteristic, complemented
1041#484C2×D7311yescharacteristic, complemented
1042#480—731no—
1043#480—731no—
1044#480C2×D7311yescharacteristic, complemented
1045#480C2×D7311yescharacteristic, complemented
1046#477—731no—
1047#477—731no—
1048#474—731no—
1049#474—731no—
1050#468—731no—
1051#468—731no—
1052#468—731no—
1053#468—731no—
1054#468—731no—
1055#468—731no—
1056#468C2×D7311yescharacteristic, complemented
1057#468C2×D7311yescharacteristic, complemented
1058#467—731no—
1059#467—731no—
1060#467—731no—
1061#467—731no—
1062#467—731no—
1063#467C2×D7311yescharacteristic, complemented
1064#466—731no—
1065#466C2×D7311yescharacteristic, complemented
1066#464—731no—
1067#464—731no—
1068#464—731no—
1069#464—731no—
1070#463—731no—
1071#463—731no—
1072#463—731no—
1073#463—731no—
1074#462—731no—
1075#462—731no—
1076#461—731no—
1077#461—731no—
1078#452—731no—
1079#452—731no—
1080#452—731no—
1081#452—731no—
1082#452—731no—
1083#452—731no—
1084#452C2×D7311yescharacteristic, complemented
1085#452C2×D7311yescharacteristic, complemented
1086#451—731no—
1087#451—731no—
1088#451—731no—
1089#451—731no—
1090#451—731no—
1091#451—731no—
1092#451—731no—
1093#451—731no—
1094#450—731no—
1095#450—731no—
1096#450—731no—
1097#450—731no—
1098#449—731no—
1099#449—731no—
1100#449—731no—
1101#449—731no—
1102#449—731no—
1103#449—731no—
1104#449—731no—
1105#449—731no—
1106#449—731no—
1107#449—731no—
1108#449C2×D7311yescharacteristic
1109#449C2×D7311yescharacteristic, complemented
1110#448—731no—
1111#448—731no—
1112#448—731no—
1113#448—731no—
1114#440—731no—
1115#440—731no—
1116#440—731no—
1117#440—731no—
1118C4×Q16—731no—
1119C4×Q16—731no—
1120C4×D8—731no—
1121C4×D8—731no—
1122#436—731no—
1123#436—731no—
1124#435—731no—
1125#435—731no—
1126#435—731no—
1127#435—731no—
1128C8×D4—731no—
1129C8×D4—731no—
1130#433—731no—
1131#433—731no—
1132#417—731no—
1133#417—731no—
1134#417—731no—
1135#417—731no—
1136C2×#103—731no—
1137C2×#103—731no—
1138C2×#103—731no—
1139C2×#102—731no—
1140#408—731no—
1141#408C2×D7311yescharacteristic, complemented
1142#407—731no—
1143C2×C22⋊C8—731no—
11442−1+4—2922no—
11452−1+4—2922no—
1146C2×#41—2922no—
1147C2×#41—2922no—
1148C2×#41—731no—
1149C2×#41—731no—
1150C2×#41—731no—
1151C2×#41—731no—
1152C2×#41—731no—
1153C2×#41—731no—
1154C2×#41—1461no—
1155C2×#41—1461no—
1156C2×#41—1461no—
1157C2×#41—1461no—
1158C2×#41—1461no—
1159C2×#41—1461no—
1160C2×#41—1461no—
1161C2×#41C22×D7311yescharacteristic
1162C2×#41C22×D7311yescharacteristic
1163C2×#41C22×D7311yescharacteristic
1164C22×Q8—731no—
1165C22×Q8—731no—
1166C22×Q8—731no—
1167C22×Q8—731no—
1168C22×Q8—731no—
1169C22×Q8—1461no—
1170C22×D4—731no—
1171C22×D4—731no—
1172C22×D4—1461no—
1173C22×D4—1461no—
1174C23×C4—731no—
1175C23×C4—1461no—
1176#137—2922no—
1177#137—2922no—
1178#137—2922no—
1179#137—2922no—
1180#135—2922no—
1181#135—2922no—
1182C2×Q16—731no—
1183C2×Q16—731no—
1184C2×Q16—731no—
1185C2×Q16—731no—
1186C2×Q16—731no—
1187C2×Q16—731no—
1188C2×Q16—731no—
1189C2×Q16C22×D7311yescharacteristic
1190C2×SD16—2922no—
1191C2×SD16—731no—
1192C2×SD16—731no—
1193C2×SD16—731no—
1194C2×SD16—731no—
1195C2×SD16—731no—
1196C2×SD16—731no—
1197C2×SD16—731no—
1198C2×SD16—731no—
1199C2×SD16—731no—
1200C2×SD16—731no—
1201C2×SD16C22×D7311yescharacteristic
1202C2×SD16C22×D7311yescharacteristic
1203C2×D8—2922no—
1204C2×D8—731no—
1205C2×D8—731no—
1206C2×D8—731no—
1207C2×D8C22×D7311yescharacteristic
1208C2×M16—731no—
1209C2×M16—731no—
1210C2×M16—731no—
1211C2×M16C22×D7311yescharacteristic
1212C22×C8—731no—
1213C22×C8—731no—
1214C22×C8—731no—
1215C22×C8C22×D7311yescharacteristic
1216C4⋊Q8—731no—
1217C4⋊Q8—731no—
1218C4⋊Q8—731no—
1219C4⋊Q8—731no—
1220C4⋊Q8—1461no—
1221C4⋊Q8—1461no—
1222#126—1461no—
1223#126—1461no—
1224#125—1461no—
1225#125—1461no—
1226#124—731no—
1227#124—731no—
1228#124—731no—
1229#124—731no—
1230#124—1461no—
1231#124—1461no—
1232#124—1461no—
1233#124—1461no—
1234#124—1461no—
1235#124—1461no—
1236#123—731no—
1237#123—731no—
1238#123—1461no—
1239#123—1461no—
1240#123—1461no—
1241#123—1461no—
1242#123—1461no—
1243#123—1461no—
1244#123—1461no—
1245#123—1461no—
1246#123—1461no—
1247#123—1461no—
1248#123—1461no—
1249#123—1461no—
1250#123—1461no—
1251#123—1461no—
1252#123—1461no—
1253#123—1461no—
1254C22⋊Q8—21no—
1255C22⋊Q8—21no—
1256C22⋊Q8—731no—
1257C22⋊Q8—731no—
1258C22⋊Q8—731no—
1259C22⋊Q8—731no—
1260C22⋊Q8—731no—
1261C22⋊Q8—731no—
1262C22⋊Q8—731no—
1263C22⋊Q8—731no—
1264C22⋊Q8—731no—
1265C22⋊Q8—731no—
1266C22⋊Q8—1461no—
1267C22⋊Q8—1461no—
1268C22⋊Q8—1461no—
1269C22⋊Q8—1461no—
1270C22⋊Q8—1461no—
1271C22⋊Q8—1461no—
1272C22⋊Q8—1461no—
1273C22⋊Q8—1461no—
1274C22⋊Q8—1461no—
1275C22⋊Q8—1461no—
1276C22⋊Q8—1461no—
1277C22⋊Q8—1461no—
1278C22⋊Q8—1461no—
1279C22⋊Q8—1461no—
1280C22⋊Q8—1461no—
1281C22⋊Q8—1461no—
1282C22⋊Q8—1461no—
1283C22⋊Q8—1461no—
1284C22⋊Q8—1461no—
1285C22⋊Q8—1461no—
1286C22⋊Q8—1461no—
1287C22⋊Q8—1461no—
1288C22⋊Q8—1461no—
1289C22⋊Q8C22×D7311yescharacteristic
1290C22⋊Q8C22×D7311yescharacteristic
1291C22⋊Q8C22×D7311yescharacteristic
1292C22⋊Q8C22×D7311yescharacteristic
1293#121—21no—
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—731no—
1300#121—731no—
1301#121—731no—
1302#121—731no—
1303#121—731no—
1304#121—731no—
1305#121—1461no—
1306#121—1461no—
1307#121—1461no—
1308#121—1461no—
1309#121—1461no—
1310#121—1461no—
1311#121—1461no—
1312#121—1461no—
1313#121—1461no—
1314#121—1461no—
1315#121—1461no—
1316#121—1461no—
1317#121—1461no—
1318#121—1461no—
1319#121—1461no—
1320#121C22×D7311yescharacteristic
1321#121C22×D7311yescharacteristic
1322#121C22×D7311yescharacteristic
1323#121C22×D7311yescharacteristic
1324#120—731no—
1325#120—731no—
1326#120—1461no—
1327#120—1461no—
1328#120—1461no—
1329#120—1461no—
1330C4×Q8—731no—
1331C4×Q8—731no—
1332C4×Q8—731no—
1333C4×Q8—731no—
1334C4×D4—731no—
1335C4×D4—731no—
1336C4×D4—731no—
1337C4×D4—731no—
1338C4×D4—731no—
1339C4×D4—731no—
1340C4×D4—731no—
1341C4×D4—731no—
1342C4×D4—1461no—
1343C4×D4—1461no—
1344C4×D4—1461no—
1345C4×D4—1461no—
1346C4×D4—1461no—
1347C4×D4—1461no—
1348C4×D4—1461no—
1349C4×D4—1461no—
1350C4×D4—1461no—
1351C4×D4—1461no—
1352#117—731no—
1353#117—1461no—
1354C2×C4⋊C4—731no—
1355C2×C4⋊C4—731no—
1356C2×C4⋊C4—731no—
1357C2×C4⋊C4—1461no—
1358C2×C4⋊C4—1461no—
1359C2×C4⋊C4—1461no—
1360C2×C4⋊C4—1461no—
1361C2×C4⋊C4—1461no—
1362C2×C4⋊C4C22×D7311yescharacteristic
1363C2×C4⋊C4C22×D7311yescharacteristic
1364C2×C22⋊C4—1461no—
1365C2×C22⋊C4—1461no—
1366C2×C22⋊C4—1461no—
1367C2×C22⋊C4—1461no—
1368C2×C22⋊C4—1461no—
1369C2×C22⋊C4—1461no—
1370C2×C22⋊C4—1461no—
1371#107—731no—
1372#107—731no—
1373#107—731no—
1374#107—731no—
1375#107C22×D7311yescharacteristic
1376#107C22×D7311yescharacteristic
1377#107C22×D7311yescharacteristic
1378#107C22×D7311yescharacteristic
1379C4⋊C8—731no—
1380C4⋊C8—731no—
1381C4⋊C8—731no—
1382C4⋊C8—731no—
1383#103—731no—
1384#103—731no—
1385#103—731no—
1386#103—731no—
1387#103—731no—
1388#103—731no—
1389#103—731no—
1390#103—731no—
1391#103—731no—
1392#103—731no—
1393#103—731no—
1394#103—731no—
1395#103—731no—
1396#103—731no—
1397#103—731no—
1398#103—731no—
1399#103C22×D7311yescharacteristic
1400#103C22×D7311yescharacteristic
1401#103C22×D7311yescharacteristic
1402#103C22×D7311yescharacteristic
1403#102—731no—
1404#102—731no—
1405#102—731no—
1406#102—731no—
1407#102—731no—
1408#102—731no—
1409#102—731no—
1410#102—731no—
1411#102C22×D7311yescharacteristic
1412#102C22×D7311yescharacteristic
1413#102C22×D7311yescharacteristic
1414#102C22×D7311yescharacteristic
1415C22⋊C8—731no—
1416C22⋊C8—731no—
1417C22⋊C8—731no—
1418C22⋊C8—731no—
1419C22⋊C8—731no—
1420C22⋊C8—731no—
1421C22⋊C8—731no—
1422C22⋊C8—731no—
1423C22⋊C8C22×D7311yescharacteristic
1424C22⋊C8C22×D7311yescharacteristic
1425C22⋊C8C22×D7311yescharacteristic
1426C22⋊C8C22×D7311yescharacteristic
1427#97—731no—
1428#97—731no—
1429C4×C8—731no—
1430C4×C8—731no—
1431C24—731no—
1432C24—1461no—
1433C24—1461no—
1434#41—41no—
1435#41—41no—
1436#41—41no—
1437#41—41no—
1438#41—41no—
1439#41—41no—
1440#41—2921no—
1441#41—2921no—
1442#41—2921no—
1443#41—2921no—
1444#41—2924no—
1445#41—2924no—
1446#41—2924no—
1447#41—2924no—
1448#41—2921no—
1449#41—2924no—
1450#41—2921no—
1451#41—5842no—
1452#41—5842no—
1453#41—1462no—
1454#41—1462no—
1455#41—1462no—
1456#41—1462no—
1457#41—1462no—
1458#41—1462no—
1459C2×Q8—2921no—
1460C2×Q8—2921no—
1461C2×Q8—2921no—
1462C2×Q8—2921no—
1463C2×Q8—2921no—
1464C2×Q8—2924no—
1465C2×Q8—2921no—
1466C2×Q8—2921no—
1467C2×Q8—731no—
1468C2×Q8—731no—
1469C2×Q8—731no—
1470C2×Q8—731no—
1471C2×Q8—1462no—
1472C2×Q8—1462no—
1473C2×Q8—1461no—
1474C2×Q8—1461no—
1475C2×Q8—1461no—
1476C2×Q8—1461no—
1477C2×Q8—1462no—
1478C2×Q8—1461no—
1479C2×Q8—1461no—
1480C2×Q8—1461no—
1481C2×Q8D4×D7311yescharacteristic
1482C2×Q8C23×D7311yescharacteristic
1483C2×Q8C23×D7311yescharacteristic
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—2924no—
1491C2×D4—2921no—
1492C2×D4—2921no—
1493C2×D4—2921no—
1494C2×D4—5842no—
1495C2×D4—731no—
1496C2×D4—731no—
1497C2×D4—731no—
1498C2×D4—731no—
1499C2×D4—731no—
1500C2×D4—731no—
1501C2×D4—1461no—
1502C2×D4—1461no—
1503C2×D4—1461no—
1504C2×D4—1461no—
1505C2×D4—1462no—
1506C2×D4—1461no—
1507C2×D4—1461no—
1508C2×D4—1461no—
1509C2×D4—1461no—
1510C2×D4—1461no—
1511C2×D4—1461no—
1512C2×D4—1461no—
1513C2×D4—1461no—
1514C2×D4D4×D7311yescharacteristic
1515C2×D4D4×D7311yescharacteristic
1516C2×D4D4×D7311yescharacteristic
1517C2×D4C23×D7311yescharacteristic
1518C2×D4C23×D7311yescharacteristic
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—2921no—
1524C22×C4—2921no—
1525C22×C4—2924no—
1526C22×C4—731no—
1527C22×C4—731no—
1528C22×C4—731no—
1529C22×C4—731no—
1530C22×C4—731no—
1531C22×C4—1461no—
1532C22×C4—1461no—
1533C22×C4—1461no—
1534C22×C4—1461no—
1535C22×C4—1461no—
1536C22×C4—1461no—
1537C22×C4—1461no—
1538C22×C4—1461no—
1539C22×C4—1461no—
1540C22×C4—1461no—
1541C22×C4—1461no—
1542C22×C4—1461no—
1543C22×C4—1461no—
1544C22×C4—1461no—
1545C22×C4—1461no—
1546C22×C4—1461no—
1547C22×C4—1461no—
1548C22×C4—1461no—
1549C22×C4C23×D7311yescharacteristic
1550C22×C4C23×D7311yescharacteristic
1551C22×C4C23×D7311yescharacteristic
1552Q16—41no—
1553Q16—2921no—
1554Q16—2921no—
1555Q16—2921no—
1556Q16—2921no—
1557Q16—2921no—
1558Q16—1462no—
1559Q16—1462no—
1560SD16—41no—
1561SD16—41no—
1562SD16—2921no—
1563SD16—2921no—
1564SD16—2921no—
1565SD16—2921no—
1566SD16—2921no—
1567SD16—2921no—
1568SD16—1462no—
1569SD16—1462no—
1570SD16—1462no—
1571SD16—1462no—
1572D8—41no—
1573D8—2921no—
1574D8—1462no—
1575D8—1462no—
1576M16—41no—
1577M16—2921no—
1578M16—2921no—
1579M16—2921no—
1580C2×C8—41no—
1581C2×C8—2921no—
1582C2×C8—2921no—
1583C2×C8—2921no—
1584C2×C8—731no—
1585C2×C8—731no—
1586C2×C8—731no—
1587C2×C8—731no—
1588C2×C8C23×D7311yescharacteristic
1589C2×C8C23×D7311yescharacteristic
1590C2×C8C23×D7311yescharacteristic
1591C2×C8C23×D7311yescharacteristic
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4—731no—
1599C4⋊C4—731no—
1600C4⋊C4—731no—
1601C4⋊C4—731no—
1602C4⋊C4—731no—
1603C4⋊C4—731no—
1604C4⋊C4—731no—
1605C4⋊C4—731no—
1606C4⋊C4—1461no—
1607C4⋊C4—1461no—
1608C4⋊C4—1461no—
1609C4⋊C4—1461no—
1610C4⋊C4—1461no—
1611C4⋊C4—1461no—
1612C4⋊C4—1461no—
1613C4⋊C4—1461no—
1614C4⋊C4—1461no—
1615C4⋊C4—1461no—
1616C4⋊C4—1461no—
1617C4⋊C4—1461no—
1618C4⋊C4—1461no—
1619C4⋊C4—1461no—
1620C4⋊C4—1461no—
1621C4⋊C4—1461no—
1622C4⋊C4—1461no—
1623C4⋊C4—1461no—
1624C4⋊C4—1461no—
1625C4⋊C4—1461no—
1626C4⋊C4—1461no—
1627C4⋊C4C23×D7311yescharacteristic
1628C4⋊C4C23×D7311yescharacteristic
1629C4⋊C4C23×D7311yescharacteristic
1630C4⋊C4C23×D7311yescharacteristic
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—731no—
1640C22⋊C4—731no—
1641C22⋊C4—731no—
1642C22⋊C4—731no—
1643C22⋊C4—731no—
1644C22⋊C4—731no—
1645C22⋊C4—731no—
1646C22⋊C4—731no—
1647C22⋊C4—731no—
1648C22⋊C4—731no—
1649C22⋊C4—1461no—
1650C22⋊C4—1461no—
1651C22⋊C4—1461no—
1652C22⋊C4—1461no—
1653C22⋊C4—1461no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
1662C22⋊C4—1461no—
1663C22⋊C4—1461no—
1664C22⋊C4—1461no—
1665C22⋊C4—1461no—
1666C22⋊C4—1461no—
1667C22⋊C4—1461no—
1668C22⋊C4—1461no—
1669C22⋊C4—1461no—
1670C22⋊C4—1461no—
1671C22⋊C4—1461no—
1672C22⋊C4—1461no—
1673C42—731no—
1674C42—731no—
1675C42—1461no—
1676C42—1461no—
1677C42—1461no—
1678C42—1461no—
1679C23—21no—
1680C23—21no—
1681C23—2921no—
1682C23—2921no—
1683C23—2922no—
1684C23—2922no—
1685C23—2922no—
1686C23—5841no—
1687C23—5841no—
1688C23—5841no—
1689C23—731no—
1690C23—731no—
1691C23—1462no—
1692C23—1461no—
1693C23—1461no—
1694C23C2×D4×D7311yescharacteristic
1695C23C2×D4×D7311yescharacteristic
1696C23C2×D4×D7311yescharacteristic
1697Q8—21no—
1698Q8—21no—
1699Q8—21no—
1700Q8—21no—
1701Q8—41no—
1702Q8—2922no—
1703Q8—2922no—
1704Q8—2922no—
1705Q8—2922no—
1706Q8—5841no—
1707Q8—5841no—
1708Q8—5841no—
1709Q8—732no—
1710Q8—1461no—
1711Q8—1461no—
1712Q8—1461no—
1713Q8—1461no—
1714Q8—1461no—
1715Q8—1461no—
1716Q8—1461no—
1717D4—21no—
1718D4—21no—
1719D4—21no—
1720D4—21no—
1721D4—41no—
1722D4—41no—
1723D4—41no—
1724D4—42no—
1725D4—81no—
1726D4—81no—
1727D4—81no—
1728D4—81no—
1729D4—81no—
1730D4—2922no—
1731D4—2922no—
1732D4—2922no—
1733D4—2922no—
1734D4—2922no—
1735D4—2921no—
1736D4—2921no—
1737D4—2922no—
1738D4—2922no—
1739D4—5841no—
1740D4—5841no—
1741D4—5841no—
1742D4—5841no—
1743D4—732no—
1744D4—1462no—
1745D4—1462no—
1746D4—1464no—
1747D4—1461no—
1748D4—1461no—
1749D4—1461no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—42no—
1763C2×C4—81no—
1764C2×C4—81no—
1765C2×C4—81no—
1766C2×C4—2922no—
1767C2×C4—2922no—
1768C2×C4—2921no—
1769C2×C4—2921no—
1770C2×C4—2922no—
1771C2×C4—2922no—
1772C2×C4—2922no—
1773C2×C4—2922no—
1774C2×C4—2922no—
1775C2×C4—2922no—
1776C2×C4—2921no—
1777C2×C4—2922no—
1778C2×C4—5841no—
1779C2×C4—5841no—
1780C2×C4—5841no—
1781C2×C4—5841no—
1782C2×C4—5841no—
1783C2×C4—5841no—
1784C2×C4—5841no—
1785C2×C4—5841no—
1786C2×C4—731no—
1787C2×C4—731no—
1788C2×C4—731no—
1789C2×C4—731no—
1790C2×C4—731no—
1791C2×C4—731no—
1792C2×C4—1464no—
1793C2×C4—1461no—
1794C2×C4—1461no—
1795C2×C4—1461no—
1796C2×C4—1461no—
1797C2×C4—1461no—
1798C2×C4—1461no—
1799C2×C4—1461no—
1800C2×C4—1461no—
1801C2×C4—1461no—
1802C2×C4—1461no—
1803C2×C4C2×D4×D7311yescharacteristic
1804C2×C4C2×D4×D7311yescharacteristic
1805C2×C4C2×D4×D7311yescharacteristic
1806C2×C4C24×D7311yescharacteristic
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—1461no—
1812C8—1461no—
1813C8—1461no—
1814C8—1461no—
1815C22—21no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—21no—
1823C22—21no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—2921no—
1831C22—2921no—
1832C22—2921no—
1833C22—2921no—
1834C22—2921no—
1835C22—5842no—
1836C22—5844no—
1837C22—732no—
1838C22—11682no—
1839C22—1462no—
1840C22—1461no—
1841C22—1461no—
1842C22—1461no—
1843C22—1461no—
1844C22—1461no—
1845C22C22×D4×D7311yescharacteristic
1846C4—21no—
1847C4—21no—
1848C4—21no—
1849C4—41no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—2921no—
1856C4—2921no—
1857C4—2921no—
1858C4—2921no—
1859C4—2921no—
1860C4—1461no—
1861C4—1462no—
1862C4—1461no—
1863C4—1461no—
1864C4—1461no—
1865C4—1461no—
1866C4—1461no—
1867C4H(5,𝔽2)×D7311yescharacteristic
1868C4H(5,𝔽2)×D7311yescharacteristic
1869C2—41no—
1870C2—41no—
1871C2—41no—
1872C2—81no—
1873C2—81no—
1874C2—2922no—
1875C2—2921no—
1876C2—5841no—
1877C2—1462no—
1878C2#2262356311yescharacteristic
1879C2#578×D7311yescharacteristic
1880C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3203C2
socleC22×C73C23×D4
hypercenter#3203D73
hypocenterC73#61619
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3203

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #22624149C2semidirect
2. #22623606C2semidirect
3. #22622234C2semidirect
4. #22622231C2semidirect
5. #22622015C2semidirect
6. #22622007C2semidirect
7. #22621928C2semidirect
8. #22621920C2semidirect
9. #22621805C2semidirect
10. #22621802C2semidirect
11. #22621619C2semidirect
12. #22621614C2semidirect
13. #22621585C2semidirect
14. #22621581C2semidirect
15. #22621483C2semidirect
16. #22621479C2semidirect
17. #22621448C2semidirect
18. #22621439C2semidirect
19. #22621044C2semidirect
20. #22621036C2semidirect
21. #22620828C2semidirect
22. #22620739C2semidirect
23. #22620705C2semidirect
24. #22620196C2semidirect
25. #22620188C2semidirect
26. #22619249C2semidirect
27. #22619243C2semidirect
28. #22619188C2semidirect
29. #449×D73C2semidirect
30. #22618974C2semidirect
31. C73×#3203C2semidirect
32. C2×#14556638C22semidirect
34. C2×#14556624C22semidirect
35. C2×#14556623C22semidirect
36. C2×#14556621C22semidirect
37. C2×#14556620C22semidirect
38. C2×#14556613C22semidirect
39. C2×#14556611C22semidirect
48. #17989247C22semidirect
49. #17989244C22semidirect
50. #17989243C22semidirect
51. #17989243C22semidirect
52. #17989239C22semidirect
53. #17989239C22semidirect
54. #17989238C22semidirect
57. #17989237C22semidirect
67. #17989210C22semidirect
68. #17989204C22semidirect
73. #17989165C22semidirect
75. #17989158C22semidirect
82. #17989068C22semidirect
83. #17988980C22semidirect
84. #17988978C22semidirect
85. #17988970C22semidirect
86. #17988968C22semidirect
87. #17988945C22semidirect
88. #17988945C22semidirect
89. #17988936C22semidirect
90. #17988936C22semidirect
93. #17988924C22semidirect
94. #17988924C22semidirect
95. #17988922C22semidirect
96. #17988920C22semidirect
97. #17988900C22semidirect
98. #17988898C22semidirect
99. #17988881C22semidirect
100. #17988881C22semidirect
101. #17988866C22semidirect
102. #17988866C22semidirect
103. #17988835C22semidirect
104. #17988834C22semidirect
105. #17988834C22semidirect
106. #17988832C22semidirect
107. #17988832C22semidirect
108. #17988831C22semidirect
113. #17988826C22semidirect
114. #17988821C22semidirect
115. #17988812C22semidirect
116. #17988808C22semidirect
117. #17988808C22semidirect
118. #17988807C22semidirect
119. #17988805C22semidirect
120. #17988801C22semidirect
121. #17988801C22semidirect
122. #17988800C22semidirect
123. #17988796C22semidirect
124. #17988795C22semidirect
125. #17988791C22semidirect
126. #17988790C22semidirect
127. #17988751C22semidirect
128. #17988751C22semidirect
129. #17988749C22semidirect
130. #17988747C22semidirect
131. #17988747C22semidirect
132. #17988747C22semidirect
133. #17988745C22semidirect
134. #17988745C22semidirect
136. #17988744C22semidirect
137. #17988744C22semidirect
138. #17988742C22semidirect
139. #17988742C22semidirect
147. #17988734C22semidirect
152. #17988730C22semidirect
153. #17988730C22semidirect
155. #17988728C22semidirect
156. #17988728C22semidirect
157. #17988725C22semidirect
158. #17988725C22semidirect
159. #17988690C22semidirect
160. #17988686C22semidirect
161. #17988686C22semidirect
162. #17988684C22semidirect
163. #17988681C22semidirect
164. #17988679C22semidirect
165. #17988669C22semidirect
166. #17988667C22semidirect
167. #17988663C22semidirect
168. #17988662C22semidirect
170. #17988658C22semidirect
172. #17988655C22semidirect
175. #17988645C22semidirect
176. #17988645C22semidirect
177. #17988589C22semidirect
178. #17988587C22semidirect
179. #17988586C22semidirect
180. #17988585C22semidirect
181. C2×#14556516C22semidirect
182. C2×#14556514C22semidirect
185. #17988554C22semidirect
188. #537×C73C22semidirect
189. #537×C73C22semidirect
190. #484×C73C22semidirect
191. #484×C73C22semidirect
192. #480×C73C22semidirect
193. #480×C73C22semidirect
194. #468×C73C22semidirect
195. #468×C73C22semidirect
196. #467×C73C22semidirect
197. #466×C73C22semidirect
198. #452×C73C22semidirect
199. #452×C73C22semidirect
201. #449×C73C22semidirect
202. #408×C73C22semidirect
962. #3203D73semidirect
972. C73#61619semidirect
1015. #537C2×D73semidirect
1016. #537C2×D73semidirect
1040. #484C2×D73semidirect
1041. #484C2×D73semidirect
1044. #480C2×D73semidirect
1045. #480C2×D73semidirect
1056. #468C2×D73semidirect
1057. #468C2×D73semidirect
1063. #467C2×D73semidirect
1065. #466C2×D73semidirect
1084. #452C2×D73semidirect
1085. #452C2×D73semidirect
1109. #449C2×D73semidirect
1141. #408C2×D73semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#226241492
#226236062
#226222342
#226222312
#226220152
#226220072
#226219282
#226219202
#226218052
#226218022
#226216192
#226216142
#226215852
#226215812
#226214832
#226214792
#226214482
#226214392
#226210442
#226210362
#226208282
#226207392
#226207052
#226201962
#226201882
#226192492
#226192432
#226191882
#449×D732
#226189742
C73×#32032
#6161973